tính nhanh
a, 53 . 84 + 212 . 29
b, 79 . 17 + 21 . 18
c, 16 + 21 + 26 + 31 + ... + 96 + 101
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a) 105*x-20-18-16-...-2=19+17+15+...+3+1
105*x=1+2+3+4+...+20
105*x=\(\frac{\left(20+1\right)x20}{2}\)
105*x=210
x=2
Vậy x = 2
b) 1-6+11-16+21-26+...+91-96+101
=101-96+91-86+...+21-16+11-6+1
=(101-96)+(91-86)+...+(21-16)+(11-6)+1
=5+5+...+5+5+1 ( có (101-6):5+1);2=10 số 5)
=5x10+1=51
a)105xX-20-18-16-...-2=19+17+15+...+3+1
105xX-(20+18+16+...+2)=19+17+15+...+3+1
105xX-110=100
105xX=100+110
105xX=210
X=210:105
X=2
\(\dfrac{60}{72}>\dfrac{14}{21}\) \(\dfrac{19}{31}>\dfrac{17}{35}\) \(\dfrac{18}{53}>\dfrac{26}{78}\)
17/15>29/32
12/18<13/17
16/51>31/96
21/25>19/29>60/81
A, (-25). 21. (-2)2. (-|-3|). (-1)2015
B, (-5)3. 67. (-|-2|). (-1)2014
C, 35.18 – 5.7.28 + 35. (-90)
D, 24. (16 – 5) – 16. (24 – 5)
E, - 79. (73 – 27) – 73. (-79 + 27)
G, 31. (-18) + 31. (-8)-31
M, -48 + 48. (-78) + 48. (-21)
N, -|-17| + 2. [ 24: (-8) + (-5)2]
I, -|-7|. [(-2)4 + (-36): (-32)] – (-5)3
\(\left(\dfrac{21}{31}+\dfrac{-16}{7}\right)+\left(\dfrac{44}{53}+\dfrac{10}{31}\right)+\dfrac{9}{53}.\)
\(\dfrac{21}{31}-\dfrac{16}{7}+\dfrac{44}{53}+\dfrac{10}{31}+\dfrac{9}{53}=\left(\dfrac{21}{31}+\dfrac{10}{31}\right)+\left(\dfrac{44}{53}+\dfrac{9}{53}\right)-\dfrac{16}{7}=1+1-\dfrac{16}{7}=\dfrac{-2}{7}.\)
A=55*[(1/11*16) * 1/5 + (1/16*21) * 1/5 + (1/21*26) * 1/5 + (1/26*31) * 1/5 + (1/31*36) * 1/5 + (1/36*41) * 1/5 ]
= 55* [ (1/11*16) + (1/16*21) + (1/21*26) + (1/26*31) + (1/31*36) + (1/36*41) ] * 1/5
= 55 * [ 1/11-1/16+1/16-1/21+1/21-1/26+1/26-1/31+1/31-1/36+1/36-1/41) * 1/5
= 55 * ( 1/11 - 1/41 ) * 1/5
= 30/41
tính nhanh
a, 53 . 84 + 212 . 29
= 4452 + 6148
= 10600
b, 79 . 17 + 21 . 18
= 1343 + 378
= 1721
c, 16 + 21 + 26 + 31 + ... + 96 + 101
= ( 101 + 16 ) x 18 2
= 1053